A variable parabola \( y^{2}=4 a x, a\left(\right. \) where \( \lef...

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A variable parabola \( y^{2}=4 a x, a\left(\right. \) where \( \left.a \neq-\frac{1}{4}\right) \)
P
W being the parameter, meets the curve \( y^{2}+x-y-2=0 \) at two points. The locus of the point of intersection of tangents at these points is:
(1) \( x-2 y-4=0 \)
(2) \( x-4 y+2=0 \)
(3) \( x-4 y-1=0 \)
(4) \( 2 x-y+1=0 \)
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